31/32 as a Decimal

Answer 31/32 in decimals can be written as 0.96875. It is a terminating decimal, meaning it does not repeat infinitely. Explanation To convert 31/32 to a decimal, we will use the division method. Here, 31 is smaller than 32, so we will use the decimal method to perform the division. Let's break down the process step by step: Step 1: Identify the numerator and denominator. The numerator (31) will be taken as the dividend, and the denominator (32) will be taken as the divisor. Step 2: As 31 is smaller than 32, it can't be divided as is, so we will use decimals. We add 0 to the dividend, making it 310, and add a decimal point in the quotient place. Step 3: Divide 310 by 32. The nearest whole number is 9, since 32 × 9 = 288. Write 9 in the quotient place and subtract 288 from 310 to get 22. Step 4: Bring down another 0, making it 220. Divide 220 by 32. The nearest whole number is 6, since 32 × 6 = 192. Write 6 in the quotient place and subtract 192 from 220 to get 28. Step 5: Bring down another 0, making it 280. Divide 280 by 32. The nearest whole number is 8, since 32 × 8 = 256. Write 8 in the quotient place and subtract 256 from 280 to get 24. Step 6: Bring down another 0, making it 240. Divide 240 by 32. The nearest whole number is 7, since 32 × 7 = 224. Write 7 in the quotient place and subtract 224 from 240 to get 16. Step 7: Bring down another 0, making it 160. Divide 160 by 32. The nearest whole number is 5, since 32 × 5 = 160. Write 5 in the quotient place. The division process ends here with no remainder, resulting in a terminating decimal. The answer for 31/32 as a decimal is 0.96875.

Fraction: A numerical quantity that is not a whole number, representing a part of a whole. Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part. Numerator: The top part of a fraction, indicating how many parts of the whole are being considered. Denominator: The bottom part of a fraction, showing how many parts make up a whole. Terminating Decimal: A decimal that ends and does not repeat infinitely.